考虑壁面阻力水跃共轭水深的计算方法  

Calculation Method for Conjugate Depths of Hydraulic Jump in Consideration of Wall Resistance

作　　者：张志昌[1] 赵莹[1] 

机构地区：[1]西安理工大学水利水电学院,西安710048

出　　处：《长江科学院院报》2014年第7期39-43,共5页Journal of Changjiang River Scientific Research Institute

摘　　要：根据前人对附壁射流区流速分布和壁面切应力的研究成果,通过边界层的动量积分方程研究水跃区的边界层发展和壁面阻力系数的计算方法,通过动量方程研究考虑壁面阻力时的水跃共轭水深的计算方法。研究表明:水跃区的边界层厚度沿程增加;壁面阻力系数是水跃旋滚长度、跃前断面水深和弗劳德数以及水流运动黏滞系数的函数;水跃共轭水深比是跃前断面弗劳德数和壁面阻力系数的函数。提出了水跃区水流边界层发展、水跃旋滚长度和壁面阻力系数的计算公式,并将壁面阻力系数用于计算水跃的共轭水深。通过F.G.Carollo和W.C.Hughes的试验资料对公式进行验证,证明提出的公式形式合理、考虑参数全面、计算简单、具有足够的精度。On the basis of previous researches on velocity distribution and wall shear stress in wall jet region,the boundary layer development and wall resistance coefficient in hydraulic jump region is studied through the boundary layer momentum integral equation,and according to momentum equation,the calculation method for conjugate depth of hydraulic jump in consideration of wall resistance is obtained. Research shows that in hydraulic jump region,the thickness of boundary layer increases along the flow. The wall resistance coefficient is mainly a function of roller length,depth and Froude number before the hydraulic jump,as well as kinematic viscosity coefficient. Hydraulic jump conjugate depth ratio is a function of Froude number before the hydraulic jump and wall resistance coefficient. Formulas of boundary layer development,conjugate depths of hydraulic jump and wall resistance coefficient are put forward,and the wall resistance coefficient is used to calculate hydraulic jump conjugate depths. The calculation formula is verified by test data from F. G. Carollo and W. C. Hughes,which proves that it has reasonable form,comprehensive parameters,simple calculation and sufficient accuracy.

关 键 词：水力学 壁面阻力 共轭水深 边界层 旋滚长度 

分 类 号：TV135.21[水利工程—水力学及河流动力学]